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Finding the Fourth Proportional to 165,677.78, 228,624.46 and 97,691.46

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Solution

The fourth proportional to 165,677.78, 228,624.46 and 97,691.46 is: 134,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,677.78 : 228,624.46 = 97,691.46 : x
  2. Step 2: Convert to fraction form
    165,677.78/228,624.46 = 97,691.46/x
  3. Step 3: Cross multiply
    165,677.78x = 228,624.46 × 97,691.46
  4. Step 4: Simplify right side
    165,677.78x = 22,334,657,289.11
  5. Step 5: Solve for x
    x = 22,334,657,289.11/165,677.78
  6. Step 6: Final answer
    x = 134,807.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.